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Simplifying 2q + -2 + 31 = q + 39 Reorder the terms: -2 + 31 + 2q = q + 39 Combine like terms: -2 + 31 = 29 29 + 2q = q + 39 Reorder the terms: 29 + 2q = 39 + q Solving 29 + 2q = 39 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 29 + 2q + -1q = 39 + q + -1q Combine like terms: 2q + -1q = 1q 29 + 1q = 39 + q + -1q Combine like terms: q + -1q = 0 29 + 1q = 39 + 0 29 + 1q = 39 Add '-29' to each side of the equation. 29 + -29 + 1q = 39 + -29 Combine like terms: 29 + -29 = 0 0 + 1q = 39 + -29 1q = 39 + -29 Combine like terms: 39 + -29 = 10 1q = 10 Divide each side by '1'. q = 10 Simplifying q = 10
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